8972567 has 2 divisors, whose sum is σ = 8972568. Its totient is φ = 8972566.

The previous prime is 8972501. The next prime is 8972569. The reversal of 8972567 is 7652798.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8972567 - 2¹⁸ = 8710423 is a prime.

Together with 8972569, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8972569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4486283 + 4486284.

It is an arithmetic number, because the mean of its divisors is an integer number (4486284).

Almost surely, 2^8972567 is an apocalyptic number.

8972567 is a deficient number, since it is larger than the sum of its proper divisors (1).

8972567 is an equidigital number, since it uses as much as digits as its factorization.

8972567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 211680, while the sum is 44.

The square root of 8972567 is about 2995.4243438952. The cubic root of 8972567 is about 207.7968229868.

The spelling of 8972567 in words is "eight million, nine hundred seventy-two thousand, five hundred sixty-seven".